Functions Question 104

Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{1-\cos x}{x}= $

[AI CBSE 1987; AISSE 1987]

Options:

A) 0

B) $ \frac{1}{2} $

C) $ \frac{1}{3} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to 0}{\mathop{\lim }}\frac{2,{{\sin }^{2}}(x/2)}{x}=0. $ Aliter : Apply L-Hospital?s rule.